Levi went wire-to-wire for the victory last week and shared the lead on Friday with Walter Hall. This is the fifth consecutive round that Levi has had at least a piece of the lead, and Levi could become the first player in Champions Tour history to win two consecutive events in wire-to-wire fashion.
'Mentally, this game is such a drain,' said Levi. 'It's tough to play good one week and come back and do it again the next week. I think I've got plenty left in the tank.'
Weibring fired a 7-under 65, while Hale Irwin, the all-time leader in Champions Tour victories, shot a 4-under 68 and is alone in third place at minus-9.
Levi took control of the tournament early in Saturday's second round. He knocked a sand-wedge to a foot to set up birdie at one and made it two in a row with a 15-footer at the par-5 second.
Levi collected his third birdie in a row at the par-3 third hole when he hit a 7-iron to 5 feet. He had a good look at birdie from 10 feet at the fourth, but missed. Levi hit another spectacular sand-wedge approach at the fifth, also stopping a foot from the hole, for his fourth birdie in five holes. He missed a 3-foot birdie putt at the sixth that could have put him further in the lead.
'I got off to another good start,' said Levi. 'I had a good chance at birdie for the first six holes. I really hit it good on the front nine.'
Levi parred his remaining holes on the front nine, then sank a 9-footer for birdie at the 10th. He laid up short of the green with his second at the par-5 13th, then hit a lob-wedge over the flag that spun back to 2 feet. Levi made that birdie putt to reach 14 under par for the championship.
At the par-3 17th, Levi's 4-wood approach landed in a greenside bunker. His ball plugged in the trap and his blast from the sand barely landed on the putting surface. Levi could not save par and recorded his first bogey in 53 holes, or his first since the 17th hole of Saturday's second round one week ago.
'I can't complain with 67,' said Levi, who will be in search of his third victory on the Champions Tour. 'If I can make four or five birdies, they'll have a tough time beating me. When I get the lead, I think I produce greater focus. I'm paying attention to everything that's going on.'
Weibring, who won this year's Allianz Championship, hit a 4-wood to 10 feet to set up eagle at the par-5 second. He rolled in a 15-foot birdie putt at three, then added a 35-foot birdie putt at four to go 4 under in his first four holes.
Weibring cooled off as his next birdie came at the 10th. He holed a 15-foot birdie putt from off the green at the 13th, then got within two of Levi's lead with a 12-footer for birdie at the last.
'I feel good about the way I'm playing,' said Weibring, who will also be looking for his third title on the elder circuit Sunday. 'I have always wanted to win in Texas and tomorrow, I'll have a chance.'
Reigning U.S. Senior Open champion Peter Jacobsen (67), Jim Thorpe (69), John Harris (69), Hall (72) and Jim Dent (70) share fourth place at 8-under-par 136.
Andy Bean (67), Mark Johnson (67), Morris Hatalsky (69), Bob Gilder (69) and Tom Kite are tied for ninth at minus-7.
If Craig Stadler is going to tie Chi Chi Rodriguez' Champions Tour record of four consecutive wins, he's got a lot of work ahead of him on Sunday. Stadler managed a 1-under 71 on Saturday and is part of a group tied for 30th at minus-4.